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130340448 = 2533723937
BaseRepresentation
bin1111100010011…
…01011001100000
3100002020222111000
413301031121200
5231331343243
620533352000
73141606210
oct761153140
9302228430
10130340448
1167634787
1237798600
1321007734
141344c240
15b6995d3
hex7c4d660

130340448 has 192 divisors, whose sum is σ = 453841920. Its totient is φ = 35582976.

The previous prime is 130340443. The next prime is 130340459. The reversal of 130340448 is 844043031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130340443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138636 + ... + 139572.

It is an arithmetic number, because the mean of its divisors is an integer number (2363760).

Almost surely, 2130340448 is an apocalyptic number.

130340448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130340448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226920960).

130340448 is an abundant number, since it is smaller than the sum of its proper divisors (323501472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130340448 is a wasteful number, since it uses less digits than its factorization.

130340448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 130340448 is about 11416.6741216521. The cubic root of 130340448 is about 507.0215319450.

Adding to 130340448 its reverse (844043031), we get a palindrome (974383479).

The spelling of 130340448 in words is "one hundred thirty million, three hundred forty thousand, four hundred forty-eight".